Three decades ago, a tourist was killed by a falling tree branch in Central Park — in an accident that made the Post’s front page and was eerily similar to the one that has left Sasha Blair-Goldensohn in a coma.

On Aug. 10, 1979, Kansas University law student Nancy Ray, 24, was walking to see Richard Dreyfuss in a production of “Othello” when a thunderstorm dislodged the branch as she walked below.

Her sister, Karen Gideon, heard Wednesday’s news and felt a need to reach out to Blair-Goldensohn’s family.

“It brought back memories. It made my heart sink just knowing someone else had to go through that,” she told The Post.

“To read the same thing happened 30 years later . . . I needed to tell that family that I feel for them.”